Th'ai Hoang Le

collaborators

3 papers

math.DS2026

Bourgain's $L^{2}$ pointwise ergodic theorem over function fields

ThÃ¡i HoÃ ng LÃª, Andrew Lott

We prove a function-field analogue of Bourgain's $L^{2}$ pointwise ergodic theorem. Let $q$ be a power of a prime $p$ , let $F_{q} [t]$ be the ring of polynomials over the finit…

math.DS2026

Bohr sets in sumsets III: expanding difference sets and almost Bohr sets

Pierre-Yves Bienvenu, John T. Griesmer, Anh N. Le +1

Let $G$ be a discrete abelian group. FÃ¸lner showed that if $A \subseteq G$ has positive upper Banach density, then $A - A$ contains an almost Bohr set -- a set of the form $B \set…

math.CO2025

Bohr sets in sumsets I: Compact abelian groups

Anh N. Le, ThÃ¡i HoÃ ng LÃª

Let $G$ be a compact abelian group and $I ¨ _{1}, I ¨ _{2}, I ¨ _{3}$ be continuous endomorphisms on $G$ . Under certain natural assumptions on the $I ¨ _{i}$ 's, we prove the existence of Bohr sets…

Bourgain's L2 pointwise ergodic theorem over function fields

Bohr sets in sumsets III: expanding difference sets and almost Bohr sets

Bohr sets in sumsets I: Compact abelian groups

Bourgain's $L^{2}$ pointwise ergodic theorem over function fields